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Finding the Fourth Proportional to 121.51, 182.13 and 103.42

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Solution

The fourth proportional to 121.51, 182.13 and 103.42 is: 155.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.51 : 182.13 = 103.42 : x
  2. Step 2: Convert to fraction form
    121.51/182.13 = 103.42/x
  3. Step 3: Cross multiply
    121.51x = 182.13 × 103.42
  4. Step 4: Simplify right side
    121.51x = 18,835.88
  5. Step 5: Solve for x
    x = 18,835.88/121.51
  6. Step 6: Final answer
    x = 155.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.